中国科学院大学学报2024，Vol.41Issue(1)：28-34,7.DOI:10.7523/j.ucas.2021.0073
Hardy-Littlewood截断极大算子的Lp范数的连续性
Continuity of the Lp-norm of the truncated Hardy-Littlewood maximal operator
摘要
Abstract
This paper focuses on the continuity of Lp(Rn)→Lp(Rn)-norm of the truncated Hardy-Littlewood maximal operator Mab with two truncation parameters a and b.We first,respectively,present the left semi-continuity and right semicontinuity of || Mab || Lp(Rn)→Lp(Rn)with respect to θ=b/a,and then the continuity of || Mba || Lp(Rn)→Lp(Rn)is extended to infinity.关键词
截断极大算子/连续性/Lp(Rn)→Lp(Rn)范数Key words
truncated maximal operator/continuity/Lp(Rn)→Lp(Rn)-norm分类
数理科学引用本文复制引用
武嘉,魏明权,燕敦验..Hardy-Littlewood截断极大算子的Lp范数的连续性[J].中国科学院大学学报,2024,41(1):28-34,7.基金项目
Supported by the National Natural Science Foundation of China(11871452,12071052),the Natural Science Foundation of Henan(202300410338),and the Nanhu Scholar Program for Young Scholars of XYNU （11871452,12071052）
